Math 1 Lesson 17: Practice Problems

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A farmer is creating a budget for planting soybeans and wheat. Planting soybeans costs $200 per acre, and planting wheat costs $500 per acre. He wants to spend no more than $100,000 planting soybeans and wheat. Write an inequality to describe the constraints.

A farmer is creating a budget for planting soybeans and wheat. Planting soybeans costs $200 per acre, and planting wheat costs $500 per acre. He wants to spend no more than $100,000 planting soybeans and wheat. Using Desmos, which of the following is a solution to the inequality?

• (400, 100)

• (200,200)

• (150, 100)

• (500,100)

Priya is ordering tired chili peppers and corn husks for her cooking class. Chili peppers cost $16.95 per pound and corn husks cost $6.49 per pound. Priya spends LESS THAN $50 in total. Write an inequality to model this situation.

(p= chili peppers, c=corn husks)

Priya is ordering tired chili peppers and corn husks for her cooking class. Chili peppers cost $16.95 per pound and corn husks cost $6.49 per pound. Priya spends LESS THAN $50 in total.

Using Desmos, figure out if Priya can buy 2 pounds of chili peppers and 4 pounds of corn husks. Why or why not?

• Yes, she can buy that because it is outside of the shaded region meaning it is a solution.

• No, she can not buy that because it is outside of the shaded region meaning it is not a solution.

• Yes, she can buy that because it is inside of the shaded region meaning it is a solution.

Priya is ordering tired chili peppers and corn husks for her cooking class. Chili peppers cost $16.95 per pound and corn husks cost $6.49 per pound. Priya spends LESS THAN $50 in total.

Using Desmos, figure out if Priya can buy 1.5 pounds of chili peppers and 3 pounds of corn husks. Why or why not?

• Yes, she can buy that because it is in the shaded region meaning it is a solution because she would spend less than $50

• Yes, she can buy that because it is not in the shaded region meaning it is not a solution because she would not spend less than $50

• No, she can buy that because it is not in the shaded region meaning it is not a solution because she would not spend less than $50

Using your knowledge of inequalities characteristics, which inequality would model the graph the best?

Tags

CCSS.HSA.REI.D.12

• (0,-5)

• (4,-2)

• (2,-4)

• (6,-1)

Are points on a dotted line included in a solution region? Explain.

• yes, they are included in the shaded region, meaning they are solutions, meaning they make the inequality true.

• no, they are not included in the shaded region, meaning they are not solutions, meaning they do not make the inequality true.

Tags

CCSS.HSA.REI.D.12